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Find the first derivative of f(x) = tan(x).

First, use the trigonometric identity tan(x) = sin(x) / cos(x) to rewrite the function. It should now be very apparent that f(x) is now actually a ratio of two functions, and therefore the quotient rule w...

Answered by Henry R. • Maths tutor

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Use approximations to 1 significant figure to estimate the value of 0.101 x (51.2)^2 / (3.96)^1/2

Firstly simplify the equation down so all the elements are approximated to 1 significant figure, this gives us:0.1 x 50² / 4^1/2Then work out the values of the 50² and 4

Answered by Louise B. • Maths tutor

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How do you expand out and simply brackets, like the following: (x-3)(x+4)?

So when you want to expand out 2 brackets, there's a really simple method, known as FOIL. FOIL stands for "First, Outer, Inner, & Last". So if we look at the two brackets you gave as an exam...

Answered by Chang K. • Maths tutor

2737 Views

How do I find the nth term of a sequence?

When given a sequence of numbers, there is often a rule using n, which symbolises the term of the sequence. For example in the sequence 3, 5, 7, 9, when n=1 it is referring to 3, since this is the first t...

Answered by Katie R. • Maths tutor

5264 Views

Solve algebraically the following if there is a solution: x+y=3 2x+y=5 x^2+y=6

First we realize that the question asks IF there is a solutionLet us start with the simplest equations, x+y=3 and 2x+y=5By subtracting the first equation from the second we see x=2 and subbing into x+y=3 ...

Answered by Max S. • Maths tutor

2595 Views